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Finding the Fourth Proportional to 9,353.82, 14,030.70 and 7,407.36

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Solution

The fourth proportional to 9,353.82, 14,030.70 and 7,407.36 is: 11,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.82 : 14,030.70 = 7,407.36 : x
  2. Step 2: Convert to fraction form
    9,353.82/14,030.70 = 7,407.36/x
  3. Step 3: Cross multiply
    9,353.82x = 14,030.70 × 7,407.36
  4. Step 4: Simplify right side
    9,353.82x = 103,930,445.95
  5. Step 5: Solve for x
    x = 103,930,445.95/9,353.82
  6. Step 6: Final answer
    x = 11,111.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.